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DLMF:6.5.E2 - MaRDI portal

DLMF:6.5.E2 (Q2940)

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DLMF:6.5.E2
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    Statements

    DLMF defining formula
    Ei ⁡ ( x ) = - 1 2 ⁢ ( E 1 ⁡ ( - x + i ⁢ 0 ) + E 1 ⁡ ( - x - i ⁢ 0 ) ) , exponential-integral-Ei 𝑥 1 2 exponential-integral 𝑥 𝑖 0 exponential-integral 𝑥 𝑖 0 {\displaystyle{\displaystyle\mathrm{Ei}\left(x\right)=-\tfrac{1}{2}(E_{1}\left% (-x+i0\right)+E_{1}\left(-x-i0\right)),}}
    0 references
    Symbols used
    exponential integral
    DLMF defining formula
    E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E1.m2aadec
    0 references
    Q11277
    DLMF defining formula
    Ei ⁡ ( x ) exponential-integral-Ei 𝑥 {\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}
    xml-id
    C6.S2.SS1.p3.m2aadec
    0 references
    imaginary unit
    DLMF defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C6.S1.XMD1.m1adec
    0 references

    Identifiers

     
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